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Finding the Third Proportional to 1,018,974 and 2,159,322

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Solution

The third proportional to 1,018,974 and 2,159,322 is: 4,575,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,974 : 2,159,322 = 2,159,322 : x
  2. Step 2: Convert to fraction form
    1,018,974/2,159,322 = 2,159,322/x
  3. Step 3: Cross multiply
    1,018,974x = 2,159,322 × 2,159,322
  4. Step 4: Simplify right side
    1,018,974x = 4,662,671,499,684
  5. Step 5: Solve for x
    x = 4,662,671,499,684/1,018,974
  6. Step 6: Final answer
    x = 4,575,849.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.